Before we figure out how to convert cubic meters to liters, let's figure out what these units are. In the International System of Measurement (SI), the basic unit of volume is the cubic meter. By definition, this is the volume that is enclosed in a cube with a side equal to one meter. However, it is not always convenient to use cubic meters to measure small volumes, therefore, other generally accepted units for measuring volume are cubic centimeters and liters.
In everyday life, the measurement of volumes in liters is most often used. By definition, a liter is the volume of a cube with a side of 10 cm. That is, one liter is equal to one cubic decimeter.
For reference: until 1964, the definition of a liter was different, so some sources indicate the ratio 1 l \u003d 1.000028 dm 3. The volume of one kilogram of water was taken per liter at normal atmospheric pressure and at 3.98 ° C.
Ratio derivation
To get the formula for converting volume units from cubic meters to liters, we express the volume of one cubic meter in cubic decimeters.
1 m \u003d 10 dm, then 1 m 3 \u003d (10 dm) 3 \u003d 1000 dm 3.
From the last ratio, we see that a cubic meter contains a thousand cubic decimeters, and hence a thousand liters.
1 m 3 \u003d 1000 l
From this ratio it follows that to convert units of measurement from cubic meters to liters, it is necessary to multiply the volume in cubic meters by a thousand and get the volume in liters.
Task: The volume of the water canister is 0.02 m 3 . How many liters of water can fit in it?
Solution: 0.02 m 3 \u003d 1000 x 0.02 \u003d 20 l
We often hear the question - How to convert meters to liters? From the point of view of physics, the question is completely incorrect, since meters are units of length, and liters are units of volume, and it is impossible to convert one to the other.
Reverse Translation
Often there are situations when a reverse conversion is necessary - to cubic meters from liters. To do this, you need to divide the existing volume value in liters by a thousand and get the value in cubic meters.
1 l \u003d 0.001 m 3
Task: Convert to SI units the volume of 25,000 liters.
Solution: 25,000 l \u003d 0.001 x 25,000 \u003d 25 m 3
Areas of use
Liter is a unit of measurement most often used to measure volumes of liquids and gases from 0.1 to hundreds of liters.
With volumes of thousands of liters, it is preferable to immediately indicate the volume in cubic meters. In addition, cubic meters should be used in any calculations, if the rest of the input data is given in SI.
One has to deal with the measurement of volume all the time: refueling a car tank with fuel, taking a potion, paying for water consumption, etc. How is volume measured?
When measuring volume, proceed in the same way as when measuring area. As a unit of measurement, a cube with an edge equal to some unit of length, for example, 1 cm, is chosen. Then the unit of volume will be the volume of such a cube.
Rice. 65
For example, the volume of a rectangular parallelepiped (Fig. 65) is 24 cm 3. This means that its volume contains 24 cubes of 1 cm 3 each. The same result can be obtained by measuring the length a, width b and height c of the body, and then multiplying their values. The volume is indicated by the Latin letter V:
V=abc;
V = 3 cm 2 cm 4 cm = 24 cm 3.
Using this formula, you can find the volumes of bodies that have the shape of a rectangular parallelepiped, a cube.
In SI, the unit of volume is 1 m 3. Other units: dm 3, cm 3, mm 3 - submultiple units m 3.
1 m 3 \u003d 1000 dm 3 \u003d 1. 103 dm 3;
1 dm 3 \u003d 1000 cm 3 \u003d 1. 10 3 cm 3;
1 cm 3 \u003d 1000 mm 3 \u003d 1. 10 3 mm 3;
1 dm 3 \u003d 0.001 m 3 \u003d 1. 10 -3 m 3;
1 cm 3 \u003d 0.001 dm 3 \u003d 0.000 001 m 3 \u003d 1. 10 -6 m 3;
1 mm 3 \u003d 0.001 cm 3 \u003d 1. 10 -3 cm 3;
1 mm 3 \u003d 0.000 001 dm 3 \u003d 1. 10 -6 dm 3;
1 mm 3 \u003d 0.000 000 001 m 3 \u003d 1. 10 -9 m 3.
But how to measure the volume of an irregularly shaped body, such as a kettlebell? Here, the most convenient way is to lower the body (weight) into a beaker with water and determine the volume of water displaced by it. It will be equal to the volume of the body. In figure 66, the volume of the weight is:
V \u003d 49 ml - 21 ml \u003d 28 ml \u003d 28 cm 3.
Rice. 66
In everyday life, a unit of volume of 1 liter (l) is common. One liter is nothing but one cubic decimeter (Fig. 67):
1 l \u003d 1 dm 3;
1 milliliter (ml) \u003d 0.001 l \u003d 1 cm 3.
Rice. 67
Volume measurement accuracy depends on scale division value measuring instrument. The smaller it is, the greater the measurement accuracy.
Interesting to know!
In the English system of measures, the unit of area is 1 acre:
1 acre \u003d 4046.86 m 3;
unit of volume - 1 barrel:
1 barrel \u003d 163.65 dm 3 \u003d 0.16 m 3.
In the USA, a dry barrel is distinguished:
1 dry barrel = 115.628 dm 3
and oil barrel:
1 oil barrel \u003d 158.988 dm 3 \u003d 0.159 m 3.
Now it will be clear to you how much oil is being discussed when the price for 1 barrel of oil is being discussed.
Think and answer
Do it yourself at home
Using the beaker you made, measure the volume of the potato tuber. Determine the accuracy of your measurements.
Think and answer
- How to determine the volume of the body of the correct form? Wrong shape?
- What is the SI unit for volume?
- What is the relationship between the volumes: V 1 \u003d 1 dm 3 and V 2 \u003d 1 l; V 3 \u003d 1 cm 3 and V 4 \u003d 1 ml?
- Which of the beakers will allow you to determine the volume of a piece of plasticine most accurately (Fig. 68)?
Exercises
How to convert cubes to liters? You will find out the answer to this question by reading this article.
Often students have difficulty converting one unit of measure to another. Hence a lot of questions like:
- 1 cube - how many liters is it?
- How many liters in a cube of water?
- How many liters in a cube of gas, propane, gasoline, sand, earth, expanded clay?
- How many liters of methane, liquefied gas are there in a cubic meter?
- How to convert cm in a cube (cm 3) or dm cube (cm 3) to liters?
- A cube of concrete, gasoline, diesel fuel, diesel fuel - how many liters?
Next, you can select a group of more specific questions, for example, how many liters are there in a cube of water, and in a bath? Or how many cubes are in a barrel with a volume of 200 liters, and in a bucket, but in 10 liters? And 40 liters of dry hydrogen is how many cubic meters? These questions are relevant both for students in solving various problems, and for practical purposes, for example, when buying a container for water. Let us examine this issue thoroughly, remember, so to speak, the materiel, so that at any time you can easily convert cubes into liters, and of course back.
How many liters in 1 cubic meter? Let us first of all pay attention to the fact that regardless of the substance placed in the container, the conversion from liters to cubes will always be the same, whether it be water, gas, sand or gasoline.
How many liters in 1 cubic meter?
Let's start with a lyrical digression, namely from the course of school physics. It is known that the generally accepted unit of volume is the cubic meter. 1 cubic meter is the volume of a cube whose side is exactly one meter.
This unit is not always convenient and it is for this reason that others are often used - liters - they are also cubic decimeters and cubic centimeters.
As practice has shown, the most convenient unit of volume turned out to be a liter, which is the volume of a cube, the length of which is 1 dm or 10 cm. 1 dm. cube = 1 liter.
The formula for converting the volume of a cube to liters
1 cu. m \u003d 1000 l (formula for the volume of a cube in liters)Formula for converting liters to cubic meters
1 l \u003d 0.001 cu. mExamples of converting liters to cubes
And now armed with all necessary knowledge, we can proceed directly to the calculations.
| Task #1: How many liters are in 0.5 cubic meters? Solution: Using the above formula we get: 0.5 * 1000 = 500 liters. Answer: in 0.5 cubes 500 liters. |
Task #6: How many liters are in 300 cubic meters? Solution: 300 * 1000 = 300,000 liters Answer: 300 thousand liters in 300 cubic meters. |
| Task #2: How many liters in 1 cubic meter? (the easiest) Solution: 1 * 1,000 = 1,000 liters. Answer: in 1 cube 1000 liters. |
Task #7: 5 cubes - how many liters? Solution: 5 * 1000 = 5000 liters Answer: 5 cubes is 5 thousand liters. |
| Task #3: 2 cubes is how many liters? Solution: 2 * 1,000 = 2,000 liters. Answer: in 2 cubes 2,000 liters. |
Task #8: 6 cubes is how many liters? Solution: 6 * 1000 = 6000 liters. Answer: in 6 cubes 6 thousand liters. |
| Task #4: How many liters are in 10 cubic meters? Solution: 10 * 1000 = 10,000 liters Answer: in 10 cubic meters 10 thousand liters. |
Task #9: 4 cubes how many liters? Solution: 4 * 1000 = 4000 liters Answer: in 4 cubes 4 thousand liters. |
| Task #5: 20 cubic meters is how many liters? Solution: 20 * 1000 = 20,000 liters Answer: in 20 cubic meters 20 thousand liters. |
Task #10: 500 cubic meters how many liters? Solution: 500 * 1000 = 500,000 liters Answer: in 500 cubic meters 500 thousand liters. |
Examples: how to convert cubes to liters?
Consider now the inverse problem of finding the number of cubes in the specified number of liters.
| Task #1: How many cubes are in 100 liters? Solution: 100 * 0.001 = 0.1 cu. meter. Answer: 100 liters is 0.1 cubic meters. |
Task #6: How many cubes are in 1500 liters? Solution: 1500 * 0.001 = 1.5 cubic meters. Answer: in 1500 liters 1.5 cubic meters. |
| Task #2: How many cubes are in 200 liters? Solution: 200 * 0.001 = 0.2 cu. meters. Answer: in 200 liters 0.2 meters. |
Task #7: How many cubes are in 3000 liters? Solution: 3000 * 0.001 = 3 cubic meters. Answer: in 3000 liters - 3 cubic meters. |
| Task #3: How many cubes are in 140 liters? Solution: 140 * 0.001 = 0.14 cubic meters. Answer: in 140 liters 0.14 cubic meters. |
Task #8: How many cubes are in 5000 liters? Solution: 5000 * 0.001 = 5 cubic meters. Answer: in 5,000 liters - 5 cubic meters. |
| Task #4: How many cubes are in 500 liters? Solution: 500 * 0.001 = 0.5 cu. Answer: in 500 liters 0.5 cubic meters. |
Task #9: How many cubes are in 10,000 liters? Solution: 10,000 * 0.001 = 10 cu. m. Answer: in 10,000 liters - 10 cubic meters. m. |
| Task #5: How many cubes are in 1000 liters? Solution: 1000 * 0.001 = 1 cubic meter. Answer: 1 cubic meter in 1000 liters. |
Task #10: How many cubes are in 30,000 liters? Solution: 30,000 * 0.001 = 30 cu. m. Answer: in 30,000 liters 30 cu. m. |
For quick calculations, we suggest you use our online calculators.
The calculator converts volume units. The most commonly used metric units are the liter and the cubic meter. A liter is equal to 1 cubic decimeter, a cubic meter is equal to 1,000 liters. A hectoliter is equal to 100 liters.
The Anglo-American system uses historical units, which in the United States and Great Britain, despite the same name, represent a different volume. In America, moreover, a different system of volume units for liquids and solids (for example, grain) is still used. For example, one pint can represent three different volumes. In the translation table, the individual systems are clearly separated.
Converter
Enter volume and select units
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1 cubic decimeter [dm³] = 1 liter [l]
Initial value
Converted value
cubic meter cubic kilometer cubic decimeter cubic centimeter cubic millimeter liter exalitre petaliter teraliter gigaliter megaliter kiloliter hectoliter decaliter deciliter centiliter milliliter microliter nanoliter picoliter femtoliter attoliter cc drop barrel (petroleum) barrel US barrel British gallon US pint US British quart US quart English glass American glass (metric) glass British ounce fluid US ounce fluid British tablespoon Amer. tablespoon (meter) tablespoon UK dessert spoon amer. dessert spoon Brit. teaspoon amer. metric teaspoon teaspoon Brit. gill, gill american gill, gill british minim american minim british cubic mile cubic yard cubic foot cubic inch reg ton 100 cubic feet 100 cu. foot drachma cor (biblical unit) homer (biblical unit) baht (biblical unit) gin (biblical unit) cab (biblical unit) log (biblical unit) glass (Spanish) volume of the Earth Planck volume cubic astronomical unit cubic parsec cubic kiloparsec cubic megaparsec cubic gigaparsec barrel bucket shtof quarter wine bottle vodka bottle glass cup shkalik
Learn more about volume and units of measurement in recipes
General information
Volume is the space occupied by a substance or object. Also, the volume can denote the free space inside the container. Volume is a three-dimensional quantity, unlike, for example, length, which is two-dimensional. Therefore, the volume of flat or two-dimensional objects is zero.
Volume units
Cubic meter
The SI unit for volume is the cubic meter. The standard definition of one cubic meter is the volume of a cube with edges one meter long. Derived units such as cubic centimeters are also widely used.
Liter
The liter is one of the most commonly used units in the metric system. It is equal to the volume of a cube with edges 10 cm long:
1 liter = 10 cm × 10 cm × 10 cm = 1000 cubic centimeters
It's like 0.001 cubic meters. The mass of one liter of water at 4°C is approximately equal to one kilogram. Often milliliters are also used, equal to one cubic centimeter or 1/1000 of a liter. A milliliter is usually referred to as ml.
jill
Gills are units of volume used in the United States to measure alcoholic beverages. One gill is five fluid ounces in the British imperial system, or four in the US. One American jill is equal to a quarter pint or half a cup. In Irish pubs, strong drinks are served in portions of a quarter of a jill, or 35.5 milliliters. The Scottish portions are smaller - one-fifth of a jill, or 28.4 milliliters. In England, until recently, servings were even smaller, only one-sixth of a jill or 23.7 milliliters. Now, it's 25 or 35 milliliters, depending on the rules of the institution. The hosts can decide for themselves which of the two servings to serve.
AMD
Dram, or drachma - a measure of volume, mass, as well as a coin. In the past, this measure was used in the pharmacy business and was equal to one teaspoon. Later, the standard volume of a teaspoon changed, and one spoon became equal to 1 and 1/3 drachmas.
Volumes in cooking
Liquids in cooking recipes are usually measured by volume. Bulk and dry products in the metric system, on the contrary, are measured by weight.
Tea spoon
The volume of a teaspoon varies different systems measurements. Initially, one teaspoon was a quarter of a tablespoon, then one third. It is the latter volume that is now used in the American system of measurement. This is approximately 4.93 milliliters. In American dietetics, the size of a teaspoon is 5 milliliters. In the UK it is common practice to use 5.9 milliliters, but some dietary guides and cookbooks use 5 milliliters. The volume of a teaspoon used in cooking is usually standardized in each country, but different sizes of spoons are used for eating.
Tablespoon
The volume of a tablespoon also varies depending on the geographic region. So, for example, in America, one tablespoon is three teaspoons, half an ounce, about 14.7 milliliters, or 1/16 of an American cup. Tablespoons in the UK, Canada, Japan, South Africa and New Zealand also contain three teaspoons. So, a metric tablespoon is 15 milliliters. A British tablespoon is 17.7 milliliters if a teaspoon is 5.9, and 15 if a teaspoon is 5 milliliters. Australian tablespoon - ⅔ ounce, 4 teaspoons, or 20 milliliters.
A cup
As a measure of volume, a cup is not as strictly defined as spoons. The volume of the cup can vary from 200 to 250 milliliters. A metric cup is 250 milliliters, while an American cup is slightly smaller, about 236.6 milliliters. In American dietetics, the volume of a cup is 240 milliliters. In Japan, cups are even smaller - only 200 milliliters.
Quarts and gallons
Gallons and quarts also have different sizes, depending on the geographic region where they are used. In the imperial system of measurement, one gallon is equal to 4.55 liters, and in the American system of measurements - 3.79 liters. Fuel is generally measured in gallons. A quart is equal to a quarter of a gallon and, respectively, 1.1 liters in the American system, and approximately 1.14 liters in the imperial system.
Pint
Pints are used to measure beer even in countries where pints are not used to measure other liquids. In the UK, pints are used to measure milk and cider. A pint is equal to one eighth of a gallon. Some other countries in the Commonwealth of Nations and Europe also use pints, but since they depend on the definition of the gallon, and the gallon has a different volume depending on the country, pints are also not the same everywhere. An imperial pint is approximately 568.2 milliliters, while an American pint is 473.2 milliliters.
Fluid ounce
An imperial ounce is approximately equal to 0.96 US ounce. Thus, an imperial ounce contains approximately 28.4 milliliters, and an American ounce contains 29.6 milliliters. One US ounce is also approximately equal to six teaspoons, two tablespoons, and one eighth cup.
Volume calculation
Liquid displacement method
The volume of an object can be calculated using the liquid displacement method. To do this, it is lowered into a liquid of a known volume, a new volume is geometrically calculated or measured, and the difference between these two values is the volume of the measured object. For example, if, when an object is lowered into a cup with one liter of water, the volume of liquid increases to two liters, then the volume of the object is one liter. In this way, only the volume of objects that do not absorb liquid can be calculated.
Formulas for calculating volume
The volume of geometric shapes can be calculated using the following formulas:
Prism: the product of the area of the base of the prism and the height.
Rectangular parallelepiped: product of length, width and height.
Cube: edge length to the third power.
Ellipsoid: product of semiaxes and 4/3π.
Pyramid: one third of the product of the area of the base of the pyramid and the height. Post a question to TCTerms and within a few minutes you will receive an answer.